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Finding the Fourth Proportional to 406,149.72, 609,318.02 and 136,313.65

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Solution

The fourth proportional to 406,149.72, 609,318.02 and 136,313.65 is: 204,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,149.72 : 609,318.02 = 136,313.65 : x
  2. Step 2: Convert to fraction form
    406,149.72/609,318.02 = 136,313.65/x
  3. Step 3: Cross multiply
    406,149.72x = 609,318.02 × 136,313.65
  4. Step 4: Simplify right side
    406,149.72x = 83,058,363,316.97
  5. Step 5: Solve for x
    x = 83,058,363,316.97/406,149.72
  6. Step 6: Final answer
    x = 204,501.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.